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34530361240 = 23517598531009
BaseRepresentation
bin100000001010001010…
…110111111110011000
310022010110222002200011
4200022022313332120
51031204233024430
623510225251304
72331460141054
oct401212677630
9108113862604
1034530361240
111370a541531
126838193b34
133343b3c11b
141957db8c64
15d7171322a
hex80a2b7f98

34530361240 has 128 divisors (see below), whose sum is σ = 83838888000. Its totient is φ = 12751699968.

The previous prime is 34530361237. The next prime is 34530361247. The reversal of 34530361240 is 4216303543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34530361247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34221856 + ... + 34222864.

Almost surely, 234530361240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34530361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41919444000).

34530361240 is an abundant number, since it is smaller than the sum of its proper divisors (49308526760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34530361240 is a wasteful number, since it uses less digits than its factorization.

34530361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 34530361240 its reverse (4216303543), we get a palindrome (38746664783).

The spelling of 34530361240 in words is "thirty-four billion, five hundred thirty million, three hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 853 1003 1009 1180 1706 2006 2018 2360 3412 4012 4036 4265 5015 5045 6824 8024 8072 8530 10030 10090 14501 17060 17153 20060 20180 29002 34120 34306 40120 40360 50327 58004 59531 68612 72505 85765 100654 116008 119062 137224 145010 171530 201308 238124 251635 290020 297655 343060 402616 476248 503270 580040 595310 686120 855559 860677 1006540 1012027 1190620 1711118 1721354 2013080 2024054 2381240 3422236 3442708 4048108 4277795 4303385 5060135 6844472 6885416 8096216 8555590 8606770 10120270 14631509 17111180 17213540 20240540 29263018 34222360 34427080 40481080 50779943 58526036 73157545 101559886 117052072 146315090 203119772 253899715 292630180 406239544 507799430 585260360 863259031 1015598860 1726518062 2031197720 3453036124 4316295155 6906072248 8632590310 17265180620 34530361240